470
470 is a even composite number that follows 469 and precedes 471. It is composed of 8 distinct factors: 1, 2, 5, 10, 47, 94, 235, 470. Its prime factorization can be written as 2 × 5 × 47. 470 is classified as a deficient number based on the sum of its proper divisors. In computer science, 470 is represented as 111010110 in binary and 1D6 in hexadecimal. Historically, it is written as CDLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 47) reveals 3 prime building blocks.
Divisible by 2
470 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
470 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
470 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 470 within several notable number theory sequences:
Timeline
Deep dive
How 470 breaks down
470 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 394, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010110 supports bitwise reasoning, hexadecimal 1D6 aligns with computing notation, and the Roman numeral CDLXX keeps the encyclopedic tradition alive. These attributes make 470 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 470 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (465–475) to tune search ranges, and educators feature 470 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 470 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 470
Is 470 a prime number?
470 is composite with 8 total factors and the prime factorization 2 × 5 × 47.
What is the prime factorization of 470?
It breaks down as 2 × 5 × 47, multiplying the primes 2 × 5 × 47.
How is 470 represented in binary and hexadecimal?
470 converts to 111010110 in binary and 1D6 in hexadecimal, which are helpful for computer science applications.
Is 470 a perfect square, cube, or triangular number?
470 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 470?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.